# 8. Graph the reflection of AB in the x-axis 9. Locate a point C on the x-axis such that AC + BC is minimized. C = (______, 0 ) 10. Fill in the values to complete item 8 with matrix multiplication.

8. Graph the reflection of AB in the x-axis
9. Locate a point C on the x-axis such that AC + BC is minimized.
C = (______, 0 )
10. Fill in the values to complete item 8 with matrix multiplication.
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uavklarajo
A(0,2)and B(9,4) so the reflected A is A'(0,-2)and B'(9,-4)
line joining A'B' is the image
let C(a,0)
so AC+BC=sqrt(a**2+4)+sqrt((a-9)**2+16)
min when derivative is zero
so by tha we get a=1.5(sqrt(13)-1)